Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 159/93, 242/7177 quickly i.e. 38478 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 159/93, 242/7177 is 38478.
LCM(159/93, 242/7177) = 38478
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 159/93,242/7177
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 159,242
Least Common Multiple of Numerators i.e. LCM of 159,242 is 38478.
GCF of Denominators means GCF of 93,7177 as per the given fractions.
GCF of 93,7177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 159,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 38478
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 159,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(159,242) x common factors =1 x 1 = 1
LCM(159,242) = ( 159 × 242 ) / 1
LCM(159,242) = 38478 / 1
LCM(159,242) = 38478
Lets's calculate GCF of 93,7177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38478/1
Therefore the LCM of Fractions 159/93,242/7177 is 38478
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 7177
List of positive integer factors of 7177 that divides 7177 without a remainder.
1,7177
Greatest Common Factor
We found the factors 93,7177 . The biggest common factor number is the GCF number.
So the greatest common factor 93,7177 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 159/93, 242/7177?
Answer: LCM of Numerators as per given numbers 159/93, 242/7177 is
LCM of Numerators i.e. for 159,242 is 38478
GCF of denominators i.e. for 93,7177 is 1.
Thus, LCM of Fractions is 38478.Finally, LCM of Fractions for 159/93, 242/7177 is 38478.